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Finding the Fourth Proportional to 24,500.41, 36,734.82 and 10,469.59

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Solution

The fourth proportional to 24,500.41, 36,734.82 and 10,469.59 is: 15,697.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,500.41 : 36,734.82 = 10,469.59 : x
  2. Step 2: Convert to fraction form
    24,500.41/36,734.82 = 10,469.59/x
  3. Step 3: Cross multiply
    24,500.41x = 36,734.82 × 10,469.59
  4. Step 4: Simplify right side
    24,500.41x = 384,598,373.03
  5. Step 5: Solve for x
    x = 384,598,373.03/24,500.41
  6. Step 6: Final answer
    x = 15,697.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.